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Over the past three decades, experimental quantum science has witnessed a renaissance that has led to the realization of a variety of novel engineered quantum mechanical systems with increasing coherence and control. These systems include ultracold atomic gases, trapped ions, mechanical resonators, defect centers in crystals, optical photons, and superconducting circuits. They promise to herald a new era where quantum mechanics can be harnessed for advances in computing, simulating quantum materials, communication, and sensing.

Our group builds new superconducting quantum information processors that combine superconducting circuits with high-Q microwave cavities. Our microwave cavities typically possess tens of modes with photon lifetimes of a few milliseconds, making them multimodal. We combine these cavities with superconducting circuits to form multimode cavity QED systems with extremely high cooperativities. Our goal is to develop new hardware and explore schemes for quantum control and error correction in these systems. These systems are also promising for exploring a new regime of many-body quantum optics, allowing us to build exotic quantum materials using microwave light.